GCF of 245/430, 120/827
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 245/430, 120/827 i.e 5/355610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 245/430, 120/827.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 245/430,120/827?
Given fractions are 245/430,120/827
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 245/430,120/827, numerators are 245,120
Denominators are 430,827
The GCF of 245,120 is 5 .
LCM of 430,827 is 355610.
The greatest common factor of 245/430,120/827 = [GCF of 245,120]/[LCM of 430,827]= 5/355610
Therefore, the GCF of 245/430,120/827 is 5/355610.
To find the highest common factor of 245,120, we have to find the factors of both numbers and list the highest common factor.
The factors of 245 are 1, 5, 7, 35, 49, 245
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The HCF of 245,120 is 5.
Lets's calculate GCF of 245,120
| 5 | 245, 120 |
| 49, 24 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 245,120 By Matching Biggest Common Factor Method
Now, list down the factors of 245
:1,5,7,35,49,245
Now, list down the factors of 120
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 245,120 . The biggest common factor number is the GCF number.
So the greatest common factor 245,120 is 5.
Lets's calculate LCM of 430,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 355610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/355610
Therefore, the GCF of Fractions 245/430,120/827 is 5/355610
Least Common Multiple of 430,827 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 430,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(430,827) x common factors =1 x 1 = 1
LCM(430,827) = ( 430 × 827 ) / 1
LCM(430,827) = 355610 / 1
LCM(430,827) = 355610
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FAQs on GCF of Fractions of 245/430, 120/827
1. What is the HCF of 245,120?
The HCF of 245,120 is 5
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 245/430, 120/827?
Answer: GCF of Numerators as per given numbers 245/430, 120/827 is
GCF of Numerators i.e. for 245,120 is 5
LCM of denominators i.e. for 430,827 is 355610.
Thus, GCF of Fractions is 5/355610.Finally, GCF of Fractions for 245/430, 120/827 is 5/355610.